Blogs about: Linear Systems

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Lecture 12 (May 29, 2008)

Sergei Yakovenko wrote 1 month ago: Logarithmic singularities De Rham division lemma (and its generalization) Definition of a logarithm … more »

Tags: Lecture, Fuchsian systems, isomonodromic deformations, logarithmic complex, logarithmic singularities, Schlesinger system

Lecture 11 (May 22, 2008)

Sergei Yakovenko wrote 2 months ago: Meromorphic flat connexions on holomorphic manifolds: Integrability, monodromy, classification Pfaf … more »

Tags: Lecture, curvature, gauge equivalence, monodromy, regular singularities

Lecture 10 (Thu, May 1st, 2008)

Sergei Yakovenko wrote 2 months ago: Stokes phenomenon for irregular singularities of linear systems Irregular singularities: total reca … more »

Tags: Lecture, holomorphic normal form, Divergence, Stokes phenomenon

Lecture 9 (Thu, Apr 17, 2008)

Sergei Yakovenko wrote 3 months ago: Irregular singularities of linear systems One-dimensional case: complete classification. Polynomial … more »

Tags: Lecture, birkhoff normal form, Divergence, irreducibility, irregular singularity, Resonances

Lecture 8 (Thu, Apr 10, 2008)

Sergei Yakovenko wrote 3 months ago: Geometric and global theory of linear ordinary differential equations Global theory of linear equat … more »

Tags: Lecture, holomorphic vector bundles, jet bundle, meromorphic connexion, Singularity

Lecture 7 (Thu, Apr 3, 2008)

Sergei Yakovenko wrote 3 months ago: Linear ordinary differential equations of order n Construction of the Weyl algebra (noncommutative … more »

Tags: Lecture, holomorphic vector bundles, irreducibility, meromorphic connexion, monodromy, Singularity, Weyl algebra

Lecture 6 (Thu, Mar 27, 2008)

Sergei Yakovenko wrote 4 months ago: Bolibruch Impossibility Theorem Revealing an obstruction for realization of a matrix group as the mo … more »

Tags: Lecture, holomorphic normal form, holomorphic vector bundles, meromorphic connexion, monodromy, Singularity

Lecture 1 (Feb 27, 2008)

Sergei Yakovenko wrote 5 months ago: Systems of Linear ODEs with complex time Total recall: on differential equations in the complex do … more »

Tags: Lecture, Euler system, monodromy, Singularity

Semester II: tentative programme

Sergei Yakovenko wrote 5 months ago: The course on Analytic and Geometric Theory of Differential Equations resumes on Wed Feb 27, 2008. N … more »

Tags: Course, Programme

The whole is equal to the sum of the parts ... versus ... The whole is greater than the sum of the parts

Roger Costello wrote 10 months ago: The whole is equal to the sum of the parts. The whole is greater than the sum of the parts. These ex … more »

Tags: Web, Complexity, universe, Non-linear Systems, M. Mitchell Waldrop, A whole is equal to the sum of the parts, The whole is greater than the sum of the parts, greater than the sum of the parts, Independent Actions


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